+0  
 
0
31
1
avatar

Solve the following system of equations for all three variables

 

6x + 8y - 3z = -10

2x + 8y - 5z = 2

-5x - 8y + 4z = 7

 Sep 29, 2021
 #1
avatar+47 
+2

We can eliminate y by subtracting the first and second equations and add the second and third equations.

So we have two equations and two variables now:

4x+2z=-12

-3x-z=9

 

Now we can use the elimination method to eliminate z by multiplying the bottom equation by 2 and adding it with the bottom.

-2x=6 x=-3

so now we know z=0 by substituting x into the previous equation.

similarly, we can find that y=1 by substituting x and z into any of the orig equations

 

Hope this helpssmiley

 Sep 29, 2021

25 Online Users